In this interactive, learners see the attributes that identify and distinguish right triangles from others, and use precise terms to describe them and their components. At various stages questions are provided to encourage students to make connections among right triangles and objects in the real world. A link is provided to see examples of right triangles used in rug designs.

Common Core State Standards for Mathematics

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Standards for Mathematical Practice[K-12]

Attend to precision.[K-12]

Geometry[K - 8]

Reason with shapes and their attributes.[1 - 3]

1. Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals). Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories.[3]

Draw and identify lines and angles, and classify shapes by properties of their lines and angles.[4]

2. Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles.[4]